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Finding the Fourth Proportional to 42.32, 57.99 and 42.20

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Solution

The fourth proportional to 42.32, 57.99 and 42.20 is: 57.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.32 : 57.99 = 42.20 : x
  2. Step 2: Convert to fraction form
    42.32/57.99 = 42.20/x
  3. Step 3: Cross multiply
    42.32x = 57.99 × 42.20
  4. Step 4: Simplify right side
    42.32x = 2,446.97
  5. Step 5: Solve for x
    x = 2,446.97/42.32
  6. Step 6: Final answer
    x = 57.82

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.